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Finding the Fourth Proportional to 312,659.89, 468,756.55 and 146,409.01

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Solution

The fourth proportional to 312,659.89, 468,756.55 and 146,409.01 is: 219,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,659.89 : 468,756.55 = 146,409.01 : x
  2. Step 2: Convert to fraction form
    312,659.89/468,756.55 = 146,409.01/x
  3. Step 3: Cross multiply
    312,659.89x = 468,756.55 × 146,409.01
  4. Step 4: Simplify right side
    312,659.89x = 68,630,182,416.52
  5. Step 5: Solve for x
    x = 68,630,182,416.52/312,659.89
  6. Step 6: Final answer
    x = 219,504.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.